Finite difference lattice Boltzmann model with flux limiters for liquid-vapor systems

TL;DR

This paper introduces a finite difference lattice Boltzmann model with flux limiters to improve numerical stability and accuracy in simulating phase separation in liquid-vapor systems, revealing different growth regimes based on viscosity and ratio.

Contribution

It presents a novel numerical scheme using flux limiters for lattice Boltzmann models, enhancing stability and reducing spurious effects in liquid-vapor phase separation simulations.

Findings

Identification of two distinct growth regimes in phase separation

Improved numerical stability at very low viscosity

Reduction of spurious numerical effects

Abstract

In this paper we apply a finite difference lattice Boltzmann model to study the phase separation in a two-dimensional liquid-vapor system. Spurious numerical effects in macroscopic equations are discussed and an appropriate numerical scheme involving flux limiter techniques is proposed to minimize them and guarantee a better numerical stability at very low viscosity. The phase separation kinetics is investigated and we find evidence of two different growth regimes depending on the value of the fluid viscosity as well as on the liquid-vapor ratio.